An automobile having a mass of 2000 kg deflects its suspension springs 0.02 m under static conditions. Determine the nafural frequency of the automobile in the vertical direction by assuming damping to be negligible.

Question

Esteban Bowers

Physics

28 July, 08:55

An automobile having a mass of 2000 kg deflects its suspension springs 0.02 m under static conditions. Determine the nafural frequency of the automobile in the vertical direction by assuming damping to be negligible.

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Daniel · Answer 1

Answer:Frequency = 3.525 Hertz

Explanation:In static equilibrium, kd = mg

Where k = effective spring constant of the spring.

mg = The weight of the car.

d = static deflection.

Therefore, w = SQRTg/d

w = SQRT 9.81/0.02

w = 22.15 rad/sec

Converting to Hertz unit for frequency

1 rad/s = 0.1591

22.15rad/s=?

22.15 * 0.1591 = 3.525 hertz